Respuesta :
5s + 5l = 155, 10s + 12l = 346
Solve for s in the first equation.
5s = 155 - 5l
s = 31 - l
Substitute s into the second equation.
10(31 - l) + 12l = 346
310 - 10l + 12l = 346
310 + 2l = 346
2l = 36
l = 18
Substitute l into the first equation.
5s + 5(18) = 155
5s + 90 = 155
5s = 65
s = 13
s = 13, l = 18
The Small Box of Juice is worth $13 while the Large box is worth $18 dollars.
It takes a while, but the way you can find out is through trail and error.
To start, get any two numbers over 10 but make sure that they aren't the same exact number. Multiply them both by 5 and then add. If the answer isn't 155, keep trying until you get it.
Be careful though, and make sure to check the answers you got by trying to multiply those with the second set of prices that are there and then adding. If the answer wasn't 346, you would go back to find a number pair that worked with both situations correctly.
Hope you find this helpful.